Research Article

On Posner's second theorem in additively inverse semirings

Volume: 48 Number: 4 August 8, 2019
  • Sara Shafiq *
  • Muhammad Aslam
EN

On Posner's second theorem in additively inverse semirings

Abstract

In this paper, we generalize Posner's second theorem in additively inverse semirings. This can be regarded as the generalization of Posner's theorem in semirings.

Keywords

References

  1. [1] R. Awtar, Lie and Jordan Structure in Prime rings with derivations, Proc. Amer. Math. Soc. 41 (1), 67-74, 1973.
  2. [2] H.J. Bandlet, M. Petrich, Subdirect products of rings and distrbutive lattics, Proc. Edin Math. Soc. 25, 135-171, 1982.
  3. [3] J.S. Golan, The theory of semirings with applications in mathematics and theoretical computer science, John Wiley and Sons. Inc., New York, 1992.
  4. [4] M.A. Javed and M. Aslam, Some Commutativity conditions in Prime MA-semirings, ARS Combinatoria 114, 373-384, 2014.
  5. [5] M.A. Javed, M. Aslam and M. Hussain, On Condition (A2) of Bandlet and Petrich for inverse semirings, International Mathematical Forum 7, 2903-2914, 2012.
  6. [6] P.H. Karvellas, Inversive semirings, J. Aust. Math. Soc. 18, 277-288, 1974.
  7. [7] C.P. Lanski, Differential identities, Lie ideals, and Posner’s theorems, Pacific J. Math. 134 (2), 275-297, 1988.
  8. [8] L. Oukhtite, Posner’s second theorem for Jordan ideals in Rings with involution, Expo. Math. 29, 415-419, 2011.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

August 8, 2019

Submission Date

February 11, 2017

Acceptance Date

February 5, 2018

Published in Issue

Year 2019 Volume: 48 Number: 4

APA
Shafiq, S., & Aslam, M. (2019). On Posner’s second theorem in additively inverse semirings. Hacettepe Journal of Mathematics and Statistics, 48(4), 996-1000. https://izlik.org/JA68GJ43GA
AMA
1.Shafiq S, Aslam M. On Posner’s second theorem in additively inverse semirings. Hacettepe Journal of Mathematics and Statistics. 2019;48(4):996-1000. https://izlik.org/JA68GJ43GA
Chicago
Shafiq, Sara, and Muhammad Aslam. 2019. “On Posner’s Second Theorem in Additively Inverse Semirings”. Hacettepe Journal of Mathematics and Statistics 48 (4): 996-1000. https://izlik.org/JA68GJ43GA.
EndNote
Shafiq S, Aslam M (August 1, 2019) On Posner’s second theorem in additively inverse semirings. Hacettepe Journal of Mathematics and Statistics 48 4 996–1000.
IEEE
[1]S. Shafiq and M. Aslam, “On Posner’s second theorem in additively inverse semirings”, Hacettepe Journal of Mathematics and Statistics, vol. 48, no. 4, pp. 996–1000, Aug. 2019, [Online]. Available: https://izlik.org/JA68GJ43GA
ISNAD
Shafiq, Sara - Aslam, Muhammad. “On Posner’s Second Theorem in Additively Inverse Semirings”. Hacettepe Journal of Mathematics and Statistics 48/4 (August 1, 2019): 996-1000. https://izlik.org/JA68GJ43GA.
JAMA
1.Shafiq S, Aslam M. On Posner’s second theorem in additively inverse semirings. Hacettepe Journal of Mathematics and Statistics. 2019;48:996–1000.
MLA
Shafiq, Sara, and Muhammad Aslam. “On Posner’s Second Theorem in Additively Inverse Semirings”. Hacettepe Journal of Mathematics and Statistics, vol. 48, no. 4, Aug. 2019, pp. 996-1000, https://izlik.org/JA68GJ43GA.
Vancouver
1.Sara Shafiq, Muhammad Aslam. On Posner’s second theorem in additively inverse semirings. Hacettepe Journal of Mathematics and Statistics [Internet]. 2019 Aug. 1;48(4):996-1000. Available from: https://izlik.org/JA68GJ43GA